Question 1137218: A contractor is going to paint the room shown above. The paint costs $28.03 a gallon. One gallon of paint covers about 400 square feet with one coat. For a second coat, one gallon can cover about 600 square feet. The ceiling is 10 feet high, doors are 8 feet high, and windows are 4 feet high. Doors and windows are 3 feet wide.
Find the number of gallons of paint to put two coats on the walls and ceiling. Then find the cost of the paint to complete the work.
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! the cost of the paint is 28.03 for each gallon.
the first coat of paint requires one gallon for every 400 square feet.
the second coat of paint requires one gallon for every 600 square feet.
the ceiling is 10 feet high, which means the walls are 10 feet high.
doors are 8 feet high andwidnows are 4 feet high.
doors and windows are 3 feet wide.
you did not say how wide the walls are.
this is a necessaryy piece of information.
i'm assuming the doors and windows are not being painted.
without knowing how wide the walls are, you can't get an answer to this problem.
the problem required finding the number of square feet that needs to be painted.
you also did not specify how many doors and windows there were in the room.
all this information is necessary.
i'll give you an example.
assume the dimensions of the room are 10 feet wide by 20 feet long.
assume there are 4 walls to the room.
assume there is one door and 2 windows.
your calculations will be like this:
the area of the ceiling is 10 feet * 20 feet = 200 square feet.
the area of two of the walls is 20 feet by 10 feet = 200 square feet * 2 = 400 square feet.
the area of the other two walls is 10 feet by 10 feet = 100 square feet * 2 = 200 square feet.
total area to be painted without taking into consideration the doors and windows is 200 + 400 + 200 = 800 square feet.
one door is 8 * 3 = 24 square feet.
two windows are 4 * 3 = 12 * 2 = 24 square feet.
total area to be painted after taking into consideration the doors and windows is 800 minus 24 - 24 = 800 - 48 = 752 square feet.
first coat can cover 400 square feet, so you need 2 gallons for the first coat.
that covers 800 square feet which is enough for the first coat plus some left over.
the second coat can cover 600 square feet.
the remaining paint in the second can can also be used, but we'll ignore that for now.
assuming you can't use what's left in the second can for the first coat of paint, then you will need an additional two gallons for the second coat and you will have a good bunch left over.
all this assumes the dimension of the room is 10 feet wide by 20 feet long.
if the dimensions of the room are different, then different calculations are required.
bottom line:
without knowing the dimensions of the room, you can't get an estimate of the number of gallons required and without having an estimate of the number of gallons required, you can't provide an estimate of the cost.
note that, if there is paint left over from the first coat, then that paint can be used for the second coat.
for example, to keep it simple, assume half a gallon is not required for the first coat.
that half a gallon can be used for the second coat and it can now cover 600 square feet per gallon rather than 400 square feet per gallon.
that takes away from the number of gallons required for the second coat and you may be able to get away with one more gallon rather than two.
this is probably not the case with the numbers i gave you but could be the case with other number you might provide.
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